Find the Exact Value 1/3+1/5

$\frac{1}{3} + \frac{1}{5}$

Step 1

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{1}{3} \cdot \frac{5}{5} + \frac{1}{5}$

Step 2

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{3} \cdot \frac{5}{5} + \frac{1}{5} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{3}$ by $\frac{5}{5}$ .

$\frac{5}{3 \cdot 5} + \frac{1}{5} \cdot \frac{3}{3}$

Multiply $3$ by $5$ .

$\frac{5}{15} + \frac{1}{5} \cdot \frac{3}{3}$

Multiply $\frac{1}{5}$ by $\frac{3}{3}$ .

$\frac{5}{15} + \frac{3}{5 \cdot 3}$

Multiply $5$ by $3$ .

$\frac{5}{15} + \frac{3}{15}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 3}{15}$

Step 5

Add $5$ and $3$ .

$\frac{8}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{15}$

Decimal Form:

$0.5\overline{3}$